{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Angle vs. Image Height - Through Pupil\n",
    "\n",
    "Represents an analysis of incident angle vs. image height by varying through all pupil coordinates (Px, Py) for a given image field point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import optiland.backend as be\n",
    "from optiland.analysis import PupilIncidentAngleVsHeight\n",
    "from optiland.optic import Optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒════╤═════════════════╤═══════════════════╤══════════╤═════════════╤════════════╤═════════╤═════════════════╕\n",
      "│    │ Type            │ Comment           │   Radius │   Thickness │ Material   │   Conic │   Semi-aperture │\n",
      "╞════╪═════════════════╪═══════════════════╪══════════╪═════════════╪════════════╪═════════╪═════════════════╡\n",
      "│  0 │ Planar          │ scan mirror       │      inf │       153.2 │ Air        │       0 │          0      │\n",
      "│  1 │ Planar          │ PCX front surface │      inf │         5   │ N-SF11     │       0 │         18.6577 │\n",
      "│  2 │ Stop - Standard │ PCX back surface  │     -120 │       157.8 │ Air        │       0 │         19      │\n",
      "│  3 │ Planar          │ image plane       │      inf │       nan   │ Air        │       0 │         18.7561 │\n",
      "╘════╧═════════════════╧═══════════════════╧══════════╧═════════════╧════════════╧═════════╧═════════════════╛\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = Optic(name=\"Simple Optic\")\n",
    "lens.add_wavelength(value=0.63, is_primary=True)\n",
    "lens.add_surface(index=0, thickness=153.2, is_stop=True, comment=\"scan mirror\")\n",
    "lens.add_surface(\n",
    "    index=1, thickness=5, radius=be.inf, material=\"N-SF11\", comment=\"PCX front surface\"\n",
    ")\n",
    "lens.add_surface(\n",
    "    index=2, thickness=157.8, radius=-120, is_stop=True, comment=\"PCX back surface\"\n",
    ")\n",
    "lens.add_surface(index=3, comment=\"image plane\")\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=38)\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "lens.info()\n",
    "fig = lens.draw(num_rays=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x550 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "angle_vs_height = PupilIncidentAngleVsHeight(lens)\n",
    "angle_vs_height.view()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "optiland",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
